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IJAC
2010
67views more  IJAC 2010»
14 years 10 months ago
On Fox Quotients of Arbitrary Group Algebras
For a group G and N-series G of G let In R,G(G), n ≥ 0, denote the filtration of the group algebra R(G) induced by G , and IR(G) its augmentation ideal. For subgroups H of G, l...
Manfred Hartl
JCT
2011
83views more  JCT 2011»
14 years 6 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
IJAC
2007
64views more  IJAC 2007»
14 years 11 months ago
Star-Free Geodesic Languages for Groups
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions C (1/6) and C (1/4) − T (4) has the property that...
Susan M. Hermiller, Derek F. Holt, Sarah Rees
CORR
2010
Springer
96views Education» more  CORR 2010»
14 years 9 months ago
Stable comparison of multidimensional persistent homology groups with torsion
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...
Patrizio Frosini
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
16 years 2 days ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...